I actually managed to answer this myself after some troubleshooting.
My original question, when Adaxes creates a homedrive for a user, the Adaxes Service Administrator is set as the owner of the home directory. In my case, this was not desired behaviour.
By modifying the script, I was able to make it so that after the permissions get cleaned up in the script, the owner of the folder is changed from the Adaxes service administrator to the BUILTIN\Administrators group of the respective file server the folder resides on. Initially, I was getting an error in doing this. The Adaxes account required rights to "Restore files and directories" in order to change the owner to the desired account.